Properties of the Number 50442

Fifty Thousand Four Hundred Forty-Two

Basics

Value: 50441 → 50442 → 50443

Parity: even

Prime: No

Previous Prime: 50441

Next Prime: 50459

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 1201

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 1201, 2402

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100010100001010

Octal: 142412

Duodecimal: 25236

Hexadecimal: c50a

Square: 2544395364

Square Root: 224.59296516142263

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269619

Least positive integer k such that prime(k)-k, prime(k)+k, prime(k·n)-k·n, prime(k·n)+k·n, prime(k)+k·n and prime(k·n)+k are all prime. A259492

θ series of A₆ lattice. A8446

Coefficient of·in the reduction by x²->x+2 of the polynomial p(n,x) defined below in Comments. A192377

Least number k having n representations as the sum of the minimal number of biquadrates A002377(k). A185673

Number of length-n 0..3 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269614

Number of length-4 0..n arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269620

Arithmetic numbers k (A003601) such that σ(k)/d(k) is also an arithmetic number, where d(k) is the number of divisors of k (A000005) and σ(k) is their sum (A000203). A334813

Octahedral torus number: a(n) = n² + 2*(∑_k=1..n-1 k²) - 2*(floor((n+1)/2)² + 2*(∑_{k=1..floor((n+1)/2)-1} k²)) + (1 - (-1)ⁿ)/2. A50442

Number of (2+1)X(n+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A236491